The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.

Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other

The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).

Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73

Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.

Answers

Answer 1

Answer:

The null hypothesis is rejected.

Step-by-step explanation:

Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.

H0: p1 = p2 = p3 = p4 = p5 = 0.2

Ha: H0 is not true.

The table is as below:

Twitter Type:   Observed Count      p        E=350*p       (O-E)^2/E

IS                                50                  0.2          70                 5.7143

OC                              61                   0.2          70                 1.1571

RT                               64                  0.2          70                 0.5143

ME                              102                 0.2          70               14.6285

O                                 73                  0.2          70                 0.1286

-----------------------------------------------------------------------------------------------

Total                                                                                     22.1428

The test statistic [tex]\chi^2[/tex] is 22.1421

The degree of freedom d is n-1=5-1 =4

The corresponding p-value from the chi-squared table is .000188.

As this value is less than the p-value for the H0 thus we reject the null hypothesis.


Related Questions

Write down and simplify expression of the perimeter of the shape below.
Simplified Please !

Answers

Answer:

[tex]P = 4x+4[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Determine the perimeter (P)

This is calculated by adding the measure of the three sides.

So, we have:

[tex]P = 2x-3 + x + 5 +x + 2[/tex]

Collect like terms

[tex]P = 2x +x +x-3 + 5 + 2[/tex]

[tex]P = 4x+4[/tex]

Factorize

[tex]P = 4(x+1)[/tex]

Hence, the perimeter is 4x + 4 or 4(x + 1)

A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.

Answers

Answer:

To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.

A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.  

To find the circumference of the full circle, we need the formula:

C = 2πr  

 

Circumference = 2 x pi x radius

 

Radius is half of the diameter, so 12 inches.

C = 2 x pi x 12

C = 75.36 inches

 

75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.

(c) If tanA =1/2 find the value of tan3A








Answers

Answer:

5.5

Step-by-step explanation:

tana=3a=3tana-tana^3a/1-3 tana^2a

=3(1/2)-(1/2)^3/1-3(1/2)^2

=3/2-1/8 /1-3/4

=(12-1/8)/1/4)

=(11/8)/(1/4)

=11/8×4

11/2====5.5

i think it help you do by this way if the answer is not this

Hi cool yeah here is the equation

Answers

Answer:

c 7 + 7x

Step-by-step explanation:

the first one. i searched it up on sarcastic and it said 21 soo ya

Multiplying and simplify radicals!!
If u get it right I’ll give brainliest! (show work please)

Answers

Answer:

sorry, i couldn't show my work down below is a picture of the the answer tho Gomen

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

-3[tex]\sqrt{10}[/tex]*[tex]\sqrt{10}[/tex]=-3[tex]\sqrt{10}^2[/tex]=-3*10=-30

what is the effect on the graph of fx =1/x when it is transformed to g(x)=1/x - 7
a. the graph of f(x) is shifted 7 units to the left
b. the graph of f(x) is shifted 7 units down
c. the graph of f(x) is shifted 7 units up
d. the graph of f(x) is shifted 7 units to the right

PLEASE HELP

Answers

Answer:

b. the graph of f(x) is shifted 7 units down

7 is a negative term here hence,it will go down

The effect on the graph of f(x) =1/x when it is transformed to g(x)=1/x - 7 is

the graph of f(x) is shifted 7 units down.

The correct option is (B).

what is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

g(x)=1/x - 7 and f(x)= 1/x

As, the transformation takes place so there is a negative seven.

Hence,  the graph of f(x) is shifted 7 units down.

Learn more about graph here:

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Product of ²/₇ with the reciprocal of ⁽⁻³⁾/₈ is​

Answers

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]

Which expression is equivalent to 4/9×7?

Answers

4 x 7 divided by 9. Set 7 equal to 7/1. Now you have 4/9 x 7/1. Multiply numerators and denominators

The stock of Company A lost $1.90 throughout the day and ended at a value
of $36.10. By what percentage did the stock decline?

Answers

Answer:

5%

Step-by-step explanation:

36.10 + 1.90 = 38

1.9 / 38 = 0.05

0.05 x 100 = 5

Due today...

Explain how to use the area of a parallelogram to find the area of a triangle

!NO LINKS, NO FILES!

please :)

Answers

Answer:

If you draw a diagonal across the parallelogram from one vertex to the opposite vertex, you divide the parallelogram into two congruent triangles. Each triangle thus has 1/2 of the area of the parallelogram.

10. Based on the diagram below, which statement is true?

Answers

Answer:

Part D is correct

Step-by-step explanation:

4/10 divided 1/3 = 6/5. 2/15. 5/6. 11/5

Answers

The answer is 2/15.

4x1=4
10x3=30
Simplified by dividing 2 on both side to get 2/15

What is the area of this parallelogram? Show your work in detail.

helppp MEEEEE

Answers

Answer:

Parallelogram area = (height × base)

Parallelogram area = 3 * 10 cm

Area = 30 square centimeters

Source: http://www.1728.org/quadpar.htm

Step-by-step explanation:

XYZ Inc. has a cost of common stock of 14%, a cost of preferred stock of 10%
percent, an after-tax cost of debt of 4%, and a tax rate of 21%. Given this, which one of the following will reduce the firm's WACC, given that its PE ratio is equal to 24?
A. Decreasing XYZ's beta
B. Repurchasing shares of common stock
C. Increasing the debt-equity ratio

Answers

A. Decreasing XYZ’s beta

look at pic 10 pts will mark brainilest

Answers

Answer:

The answer is B or 8

Step-by-step explanation:

Answer:

B. $8

Step-by-step explanation:

Find the slope of the graph 40/5 = 8

b/4+ 2= -1
help me with this find b

Answers

Answer:

-12

Step-by-step explanation:

Find h.
10 cm
h = ✓ [?] cm
8 cm

Answers

Answer:

√86 cm

Step-by-step explanation:

radius² + h² = slope²            slope = 10       radius = 4

               h² = slope² - radius²

               h  =  √(slope² - radius²)

                   =  √(10² - 4²)

                   =  √ 86

                   =

Answer: 84

...........

9. Please help besties

Or user elpink25

Answers

Answer Should be x=3

Answer:

1

Step-by-step explanation:

 The method I used is elimination.

 x - 2y = 1

-x - 4y = -7         To find y, we need to cancel the x by using it's opposite. This also affects the other numbers in the equation. This makes positive 4 into a negative and positive 7 into a negative.

   Now we are left with,   -2y = 1

                                           -4y = -7

   Add and you get,         -6y = -6

   Divide      -6y/-6     =  -6/-6

      Our answer is, y = 1.

   

Answer the following questions for each geometric
series.
Infinite sum
S=a1/1-r,(for lrl <1)

10 + 1 + 0.1 +0.01 +...

Answers

Answer:

10

0.1

100/9,11.111

1500

Answer:

The sum of this series=11.11

Step-by-step explanation:Definition of geometric series  

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

[tex]S=a1/1-r,(for lrl < 1)[/tex]

and given series

[tex]10 + 1 + 0.1 +0.01 +...[/tex]...

where

a=10 and r=0.1

by putting these values in above formula

[tex]S=10/(1-0.1)\\=11.11[/tex]

Hence the sum of given series= 11.11

For more to know click on given link

https://brainly.com/question/23198722

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please help (no links) or i will report you i just need answers

Answers

Answer:

15.)  104 ... I hope angles are not drawn to scale

16.)  144

17.)  37

Step-by-step explanation:

15.)

3x + 10 = 4x -12

22 = x

so 3x +10 = 76

180 - 76 = t = 104

16.)

2(21) + 36 + 90 + bcd + a = 360

a = 90 - 21 = 69

360 - (2(21) + 36 + 90 + 69) = bcd

bcd = 360 - 237 = 123

angle acd = 21 + bcd = 21 + 123 = 144

17.)

(5x - 7) + 90 + (3x + 1) = 180

8x -6 = 90

8x = 96

x = 12

so 5x - 7 = 53

90 - 53 = angle lmn = 37



What is the area of this triangle?
h = 5 in.

b =10 in.

Answers

Answer:

25 in²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²

Answer:

25 units²

Step-by-step explanation:

Formula for calculating the area of a triangle:

A = hb/2

A = 5(10)/2

A = 50/2

A = 25

A number pattern has the rule divide by 3 the fifth term of the pattern is 2 what is the second term of the pattern.

Answers

3rd pattern is the answer

Mr. Jackson earns $1,500 each week and his wife earns $850 a week. Each week they need to set aside $200 for food, $75 for gas, $625 for the mortgage, and $350 for savings. How much money will they have left each week?

Answers

Answer:

$1,100

Step-by-step explanation:

Given that

Earnings of Mr Jackson is $1,500

Earnings of his wife is $850

They need to set aside the following amounts

For foods, it would be $200

For gas, it would be $75

For Mortgage it would be $625

ANd, for savings, it would be $350

We need to find out the amount of money that they have left each week

So, the amount would be

= $1,500 + $850 - $200 - $75 - $625 - $350

= $1,100

Answer:

Step-by-step explanation:

The Hudson family is saving for a

family vacation to Disney World.  

They determine that the trip will

cost $3,200.  Mr. and Mrs.

Hudson have already set aside

$1,500 for the trip.  If they leave

in 16 weeks, then how much

will they need to save

each week?

A truck has a trailer that has a length of 20 feet, a width of 8 feet, and a height of 12 feet. What is the volume of the trailer? ​

Answers

Answer:

1920

Step-by-step explanation:

20*8*12=1920

y varies directly as x and inversely as the square root of w; write the sentence as an equation: ​

Answers

Hope this helps gud luck

PLS HELP!!!!! Which expression shows the product of two factors?

2 − 6
2 + 6
2( + 6)
(2 + ) + (6 + )

Answers

Answer:

2+6

Step-by-step explanation:

Answer:

2+6

Step-by-step explanation:

its 2 +6 Hope this helps.

A line is an undefined term because it

Answers

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Step-by-step explanation:

I hope it will help you

A bone that originally contained
150 mg of carbon-14 now contains
100 mg of the isotope. If the half-life
of carbon-14 is 5730 years, how old is
the bone?

Answers

Answer:

30 years

Step-by-step explanation:


Anyone know the answer to this question?

Answers

i think thats the answer:)

PLEASE HELP WITH ALGEBRA

Answers

Answer:

log 7

Step-by-step explanation:

[tex]log (a)+log6=log(ab)\\\\[/tex]

[tex]log(c)-log(d)=log(c/d)[/tex]

---------------------------------

hope it helps...

have a great day!!

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